Latest TCS Aptitude Question SOLUTION: Combinations of numbers (upto 5 digits numbers) which appear the same when viewing upside down..? eg- 08080, 90806, etc

• Placement Papers
• /
• TCS

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40012194) TCS question Keep an EYE

Combinations of numbers (upto 5 digits numbers) which appear the same when viewing upside down..?

eg- 08080, 90806, etc

Asked In TCS Nirmalya Dhar (11 years ago)

Unsolved Read Solution (7)

Is this Puzzle helpful?   (2)   (5) Submit Your Solution

Read Solution (7) :

Rajib Kumar sahoo  (11 years ago)

only 0,8,9,6 can be used for upside down
-----
in 3rd place only 0 and 8 can be sitted
and in 1st place and 2nd place all 4 digits can be sitted so total no of combination=4*4*2*1*1=32(ans)
last 2 place become 1 bcz they should be mirror of 1st 2 place

Is this solution Helpfull? Yes (16) | No (5)  

aamir  (11 years ago)

If we fill the first place with 8 then last place must have 8(Like 80008)
similarly if we fill it with 0 then last digit will be 0.
But if we place 6 or 9 in first place we have to put 9 and 6 respectively at last place.( like 60009)
Similarly for each no. we place at 2nd place the 2nd last no. is fixed. There is no such condition for 3rd no. since it is middle. Hence we have to only choose 1st, 2nd and 3rd no.
For 1st place we have 0,6 or 8 =3 choices
For 2nd place we have 0,6 or 8 =3 choices
For 3rd place we have 0,6 or 8 =3 choices
total no. of numbers =3 x 3 x 3
Ans= 27
If we also consider 1(if we draw one like '|' ) then = 4 x 4 x 4 = 64

Is this solution Helpfull? Yes (2) | No (1)  

pooja shukla  (11 years ago)

there will be five digits 0,3, 6,8,9 that appear same when viewing upside down and there will be combination of 1, 2,3,4,5 digit numbers(means upto 5 digits)= 5+5^2+5^3+5^4+5^5=3905

Is this solution Helpfull? Yes (1) | No (13)  

Yash  (11 years ago)

using 0,8 only we get 5c2ways(08800,88888,...)
using combination like 6---9( we put 0 or 8 )and get 3C2ways
using combination like 66-99(we put 0 or 8)and get 2ways
using combination like -6-9-(we put 0 or 8)and get 3C2ways
so 30*3*3*2=540ways

Is this solution Helpfull? Yes | No (4)  

suyash  (11 years ago)

for 0 at one place last digit wiil be zero ,for 6 at second place 9 will be at 4 th place hence
for 0 at one place =12 ways
for 6 at one place =12 ways
for 8 at one place =12 ways
for 9 at one place =12 ways

Is this solution Helpfull? Yes | No (2)  

suyash  (11 years ago)

for 0 at one place last digit wiil be zero ,for 6 at second place 9 will be at 4 th place hence
for 0 at one place =12 ways
for 6 at one place =12 ways
for 8 at one place =12 ways
for 9 at one place =12 ways
total=48 ways

Is this solution Helpfull? Yes | No (2)  

jasveer   (11 years ago)

plz any budy explain me why we take 0,3,6,8,9 and what is meaning appearing the same when viewing upside down..?

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.